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Simplifying 2(2y + 2) = 6(3 + 3y) Reorder the terms: 2(2 + 2y) = 6(3 + 3y) (2 * 2 + 2y * 2) = 6(3 + 3y) (4 + 4y) = 6(3 + 3y) 4 + 4y = (3 * 6 + 3y * 6) 4 + 4y = (18 + 18y) Solving 4 + 4y = 18 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 4 + 4y + -18y = 18 + 18y + -18y Combine like terms: 4y + -18y = -14y 4 + -14y = 18 + 18y + -18y Combine like terms: 18y + -18y = 0 4 + -14y = 18 + 0 4 + -14y = 18 Add '-4' to each side of the equation. 4 + -4 + -14y = 18 + -4 Combine like terms: 4 + -4 = 0 0 + -14y = 18 + -4 -14y = 18 + -4 Combine like terms: 18 + -4 = 14 -14y = 14 Divide each side by '-14'. y = -1 Simplifying y = -1
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